Author/Authors :
Djerfi، K. نويسنده Geometry, analysis, control and applications laboratory,Saida university,Saida,Algeria , , Hathout، F. نويسنده Geometry, analysis, control and applications laboratory,Saida university,Saida,Algeria , , Messirdi، B. نويسنده Department of mathematics,Oran university,Oran,Algeria ,
Abstract :
Let M be a Riemannian compact oriented smooth manifold of dimension n multiple of 4. In this paper, we study the signature behavior of M after a perturbation of the signature operator by a multiplication operator of degree q on differential forms. We establish a stability result when the degree q exceeds n/2.
Keywords :
Signature operator , Index , Signature , Multiplication operator , stability
